01:640:135 Study Guide - Final Guide: Minimax, Dic Entertainment, Riemann Sum
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Final practice problems for ma135 fall 2007: suppose q and its rst derivative q(cid:48) and its second de- rivative q(cid:48)(cid:48) have the values indicated in the accompanying table. Below are some disconnected pieces of the graph of q. Each value of x matches exactly one picture. 2: the line y = 3x + 7 is tangent to the graph of y = f (x) at x = 4. What is f(cid:48)(4): suppose y is de ned implicitly as a function of x by x2 + axy2 + by3 = 1 where a and. Given that this curve passes through the point (3, 2) and that its tangent at this point has slope 1, nd a and b. (cid:90: evaluate these inde nite integrals. a) 5 x dx b) (x3 +5)2 dx c) (cid:90) 5 sin x+cos(5x) dx d) (cid:90) x x2 + 5 dx: evaluate these de nite integrals using methods of calculus. dx b)
